0.005a+0.05(2000-x)=99.5

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Solution for 0.005a+0.05(2000-x)=99.5 equation: 


Simplifying
0.005a + 0.05(2000 + -1x) = 99.5
0.005a + (2000 * 0.05 + -1x * 0.05) = 99.5
0.005a + (100 + -0.05x) = 99.5

Reorder the terms:
100 + 0.005a + -0.05x = 99.5

Solving
100 + 0.005a + -0.05x = 99.5

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-100' to each side of the equation.
100 + 0.005a + -100 + -0.05x = 99.5 + -100

Reorder the terms:
100 + -100 + 0.005a + -0.05x = 99.5 + -100

Combine like terms: 100 + -100 = 0
0 + 0.005a + -0.05x = 99.5 + -100
0.005a + -0.05x = 99.5 + -100

Combine like terms: 99.5 + -100 = -0.5
0.005a + -0.05x = -0.5

Add '0.05x' to each side of the equation.
0.005a + -0.05x + 0.05x = -0.5 + 0.05x

Combine like terms: -0.05x + 0.05x = 0.00
0.005a + 0.00 = -0.5 + 0.05x
0.005a = -0.5 + 0.05x

Divide each side by '0.005'.
a = -100 + 10x

Simplifying
a = -100 + 10x

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